# Supersymmetry in a dynamical M-brane background

## TL;DR

This paper constructs an exact supersymmetric solution in 11-dimensional supergravity with a dynamical M-brane background, exploring supersymmetry breaking, geometric features near singularities, and horizons.

## Contribution

It provides the first exact supersymmetric dynamical M-brane solution in 11D supergravity, advancing understanding of supersymmetry in time-dependent backgrounds.

## Key findings

- Supersymmetry is preserved in the constructed solution.
- The solution reveals geometric structures near singularities.
- Insights into supersymmetry breaking mechanisms in dynamical backgrounds.

## Abstract

The supersymmetry arises in certain theories of fermions coupled to gauge fields and gravity in a spacetime of 11 dimensions. The dynamical brane background has mainly been studied for the class of purely bosonic solutions only, but recent developments involving a time-dependent brane solution have made it clear that one can get more information by asking what happens on supersymmetric systems. In this paper, we construct an exact supersymmetric solution of a dynamical M-brane background in the 11-dimensional supergravity and investigate supersymmetry breaking, the geometric features near the singularity and the black hole horizon.